In one Social Studies class of 96 students, 0.25 of the girls and
34 of the boys passed the mock exam. A total of 36 students passed the mock exam. How many girls failed the Social Studies mock exam?
| |
Girls |
Boys |
Total |
| Passed the test |
1 u |
3 p |
36 |
| Failed the test |
3 u |
1 p |
60 |
| Total |
4 u |
4 p |
96 |
0.25 of the girls =
14 of the girls
Total number of girls = 4 u
Total number of boys = 4 p
1 u + 3 p = 36 --- (1)
3 u + 1 p = 96 - 36
3 u + 1 p = 60 --- (2)
Make u the same.
(1)
x33 u + 9 p = 108 --- (3)
(3) - (2)
9 p - 1 p = 108 - 60
8 p = 48
1 p = 48 ÷ 8 = 6
From (2)
Number of girls who failed
= 60 - 1 p
= 60 - 6
= 54
Answer(s): 54
